Determine the expression for (f+g)(x).
[tex]\begin{gathered} (f+g)(x)=f(x)+g(x) \\ =x^2-2x+6x+4 \\ =x^2+4x+4 \end{gathered}[/tex]Simplify the equation for (f+g)(x) = 0.
[tex]\begin{gathered} (f+g)(x)=0 \\ x^2+4x+4=0 \\ (x+2)^2=0 \\ (x+2)(x+2)=0 \\ x=-2 \end{gathered}[/tex]So answer is x = -2.
